Computional Analysis of Inverse problems

该基金将支持于2013年5月16日至18日在佛罗里达州奥兰多市的中佛罗里达大学（UCF）举行的“逆问题计算分析”国际会议。这次会议的主题是反问题的计算和分析。逆问题在医学成像、遥感、断层扫描和无损检测、机器学习、地球物理和统计推断等领域有着广泛的应用。在过去的20年中，反问题及其基础方面取得了重大进展，其中泛函分析、偏微分方程和应用调和分析方法在指导计算方法方面发挥了关键作用。会议的目的是汇集国际顶尖专家，促进研究人员在反问题的共同主题下的合作和交流。届时将有20位来自美国、欧洲和亚太地区的受邀演讲嘉宾，其中15位来自美国。国家科学基金的经费用于支持研究生和博士研究生，并支付部分国内高级研究人员的部分费用。逆问题有广泛的应用，包括医疗和其他成像技术，通过遥感确定地球表面下石油和其他矿藏的位置，从望远镜创建天体物理图像。除了在医学成像方面的传统应用，在改善国民医疗保健方面发挥着重要作用外，研究逆问题的理论和计算方法已经通过更有效地钻探石油和天然气，对能源独立产生了重大影响。它们还通过创建天体物理图像帮助我们加深对气候变化的理解。会议的目的不仅是鼓励不同科学学科和行业的研究人员之间的交流与合作，而且是跨国界的交流与合作。预计这次会议将吸引许多年轻的研究人员和研究生参加会议活动，特别是妇女和其他代表性不足的少数民族。来自美国和其他国家的研究生和青年研究人员的参与将为这些群体提供良好的指导活动机会。

This grant supports an international conference on "Computational Analysis of Inverse Problem," to be held in May 16-18, 2013 at the University of Central Florida (UCF) in Orlando, Florida. The theme of the conference is on computation and analysis of inverse problems. Inverse problems have wide range of applications in medical imaging, remote sensing, tomography and nondestructive testing, machine learning, geophysics and statistical inference. In the past 20 years, there have been major advances in inverse problems and its foundational aspects, where methods of functional analysis, partial differential equations and applied harmonic analysis have played pivotal roles in guiding the computational methods. The aim of the conference is to bring together top international experts to facilitate collaboration and communication among researchers under the common theme of inverse problems. There will be 20 invited speakers from USA, Europe and Asia Pacific, 15 of them from USA. Funds from NSF shall provide support for graduate students and recent PhDs and cover partial expenses of some domestic senior researchers.Inverse problems have wide range of applications including medical and other imaging techniques, location of oil and other mineral deposits underneath the earth's surface through remote sensing, creation of astrophysical images from telescope. In addition to the traditional application in medical imaging, which plays a big role in improving national health care, the theory and computational methods developed to study inverse problems have demonstrated a big impact on energy independence through more effective drilling of oil and natural gas. They also help us to deep our understanding of climate change through creation of astrophysical images. The conference will serve the purpose of encouraging communication and collaboration between researchers not only in different scientific disciplines and industries, but also across international boundaries. The conference is expected to attract many young researchers and graduate students to participate in conference activities, in particular women and other under-represented minorities. The participation of graduate students and young researchers from USA and other countries will give arise to a good opportunity for mentoring activities for these groups.